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Non-constructive Galois-Tukey connections

Published online by Cambridge University Press:  12 March 2014

Heike Mildenberger
Heike Mildenberger*
Affiliation:
Mathematisches Institut der, Universität Bonn, Beringstr. 1, 53115 Bonn, Germany, E-mail: heike@math.uni-bonn.de
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Abstract

There are inequalities between cardinal characteristics of the continuum that are true in any model of ZFC, but without a Borel morphism proving the inequality. We answer some questions from Blass [1].

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 62 , Issue 4 , December 1997 , pp. 1179 - 1186
Copyright
Copyright © Association for Symbolic Logic 1997

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References

REFERENCES

[1]Blass, A., Reductions between cardinal characteristics of the continuum, Contemporary Mathematics, vol. 192 (1996), pp. 31–49.CrossRefGoogle Scholar
[2]Fremlin, D., Cichoń's diagram, Séminaire initiation á l'analyse (Choquet, G., Rogalski, M., and Raymond, J. Saint, editors), Université Pierre et Marie Curie, 1983/1984, 5–01 – 5-13.Google Scholar
[3]Kuratowski, K., Topology, vol. 1, Academic Press, 1966.Google Scholar
[4]Moschovakis, Y., Descriptive set theory, North-Holland, 1980.Google Scholar
[5]Oxtoby, J., Measure and category, 2nd ed., Springer-Verlag, 1980.CrossRefGoogle Scholar
[6]Vojtáš, P., Generalized Galois-Tukey connections between explicit relations on classical objects of real analysis, Set theory of the reals (Judah, H., editor), Israel Mathematical Conference Proceedings, vol. 6, American Mathematical Society, 1993, pp. 619–643.Google Scholar
[7]Talagrand, M., Compacts de fonctions mesurables etfiltres non mesurables, Studia Mathematica, vol. 67 (1980), pp. 13–43.CrossRefGoogle Scholar
[8]Yipariki, O., On some tree partitions, Ph.D. thesis, University of Michigan, 1994.Google Scholar